Multi-Chaos, Fractal and Multi-Fractional Artificial Intelligence of Different Complex Systems

Yeliz Karaca is an Assistant Professor of Applied Mathematics, and a researcher at the University of Massachusetts (UMass) Chan Medical School, Worcester, USA. She received her Ph.D. degree in Mathematics in 2012. Along with the other awards she has been conferred, she was granted the Cooperation in Neurological Sciences and Support Award by Turkish Neurology Association as the first mathematician in Turkey. She also holds a medical card as the only mathematician entitled for it. Furthermore, she received the Outstanding Young Scientist Award in 2012 and Best Paper Awards in her specialized discipline, among the other national and international awards in different categories as well as grants. Another award of hers is Outstanding Reviewer Award (Mathematics Journal, MDPI) in 2021. She is the Editor-in-Chief of the book series named Systems Science & Nonlinear Intelligence Dynamics by World Scientific. Dr. Karaca has been acting as the lead editor, editor and associate editor in many different SCI indexed journals. She also has active involvement with diverse projects, some of which are Institute of Electrical and Electronics Engineers (IEEE, as senior member), Organization for Women in Science for the Developing World (OWSD); Complex Human Adaptive Organizations and Systems (CHAOS)- University of Perugia, Italy; International Engineering and Technology Institute (IETI, as the member of Board of Director). Her research interests include complex systems sciences with applications in various terrains, applied mathematics, advanced computational methods, AI applications, computational complexity, fractional calculus, fractals and multifractals, stochastic processes, different kinds of differential and difference equations, discrete mathematics, algebraic complexity, complexity science, wavelet and entropy, solutions of advanced mathematical challenges, mathematical neuroscience and biology as well as advanced data analysis in medicine and other related theoretical, computational and applied domains. Affiliations and expertise Assistant Professor of Applied Mathematics and Researcher, University of Massachusetts (UMass) Medical School, Worcester, Massachusetts, USA Dumitru Baleanu is a professor at the Institute of Space Sciences, Magurele-Bucharest, Romania and a visiting staff member at the Department of Mathematics, Çankaya, University, Ankara, Turkey. He received his Ph.D. from the Institute of Atomic Physics in 1996. His fields of interest include Fractional Dynamics and its applications, Fractional Differential Equations and their applications, Discrete Mathematics, Image Processing, Bioinformatics, Mathematical Biology, Mathematical Physics, Soliton Theory, Lie Symmetry, Dynamic Systems on time scales, Computational Complexity, the Wavelet Method and its applications, Quantization of systems with constraints, the Hamilton-Jacobi Formalism, as well as geometries admitting generic and non-generic symmetries. Yu-Dong Zhang received his Ph.D. from Southeast University. He worked as postdoc from 2010 to 2012 in Columbia University, USA, and as an assistant research scientist from 2012 to 2013 at the Research Foundation of Mental Hygiene, USA. He served as a full professor from 2013 to 2017 in Nanjing Normal University, where he was the founding director of Advanced Medical Image Processing Group in NJNU. He currently works as a professor in the Department of Informatics, University of Leicester, UK. His research interests include deep learning, convolutional neural networks, graph convolutional networks, attention networks, explainable AI, medical image analysis, bio-inspired computing, pattern recognition, transfer learning and medical sensors. Osvaldo Gervasi is a professor at the Department of Mathematics and Computer Science in Perugia University, temporarily serving as deputy director. His scientific interests focus on parallel and distributed systems, computational science, virtual and augmented reality, artificial intelligence, free and libre open source software. He has served as the General Co-Chair or Program Co-Chair of the International Conference on Computational Science and Its Applications (ICCSA) since 2004 and is the President of the not for profit organization ICCSA. Majaz Moonis is a professor of Neurology and Psychiatry and Director of Stroke Services and Vascular Neurology Program in the University of Massachusetts Medical School and affiliated UMass Memorial Medical Center. His fields of interests include stroke outcomes, particularly role of statins and other medications on the vascular endothelium and its impact in improving stroke and dementia outcomes, automatic detection of AF for a wristwatch (CoPI), and interactions between stroke and dementia with emphasis on machine learning algorithms. He is also involved in clinical and medical applications to provide solutions to challenging health concerns.

1. Introduction
Yeliz Karaca and Dumitru Baleanu
2. Theory of Complexity, Origin and Complex Systems
Yeliz Karaca
3. Multi-chaos, Fractal and Multi-fractional AI in Different Complex Systems
Yeliz Karaca
4. High Performance Computing and Computational Intelligence Applications with Multi-Chaos Perspective
Osvaldo Gervasi, Damiano Perri, Marco Simonetti, and Sergio Tasso
5. Human Hypercomplexity: Error and Unpredictability in Complex Multi-Chaotic Social Systems
Piero Dominici Sr.
6. Multifractal Complexity Analysis-based Dynamic Media Text Categorization Models by Natural Language Processing with BERT
Yeliz Karaca, Yu-Dong Zhang, Ahu Dereli Dursun, and Shui-Hua Wang
7. Mittag-Leffler Functions with Heavy-tailed Distributions’ Algorithm based on Different Biology Datasets to be Fit for Optimum Mathematical Models’ Strategies
Dumitru Baleanu and Yeliz Karaca
8. Artificial Neural Network Modeling of Systems Biology Datasets Fit Based on Mittag-Leffler Functions with Heavy-tailed Distributions for Diagnostic and Predictive Precision Medicine
Yeliz Karaca and Dumitru Baleanu
9. Computational Fractional-Order Calculus and Classical Calculus AI for Comparative Differentiability Prediction Analyses of Complex-systems-grounded Paradigm
Yeliz Karaca and Dumitru Baleanu
10. Pattern Formation Induced by Fractional-order Diffusive Model of COVID-19
Yeliz Karaca and Naveed Iqbal
11. Prony’s series in time and frequency domains and relevant fractional models
Jordan Hristov
12. A chain of kinetic equations of Bogoliubov-Born-Green-Kirkwood-Yvon and its application to non-equilibrium complex systems
Mukhayo Rasulova V, Tohir Vohidovich Akramov, Nicolai (Jr) Bogoliubov, and Umarbek Avazov
13. Hearing Loss Detection in Complex Setting by Stationary Wavelet Rényi Entropy and Three-Segment Biogeography-Based Optimization
Yabei Li, Junding Sun, and Chong Yao
14. Shannon Entropy-based Complexity Quantification of Nonlinear Stochastic Process: Diagnostic and Predictive Spatio-temporal Uncertainty of Multiple Sclerosis Subgroups
Yeliz Karaca, and Majaz Moonis
15. Chest X-ray image detection for pneumonia via complex convolutional neural network and Biogeography-based optimization
Junding Sun, Xiang Li, and Mengyao Zhai
16. Complex facial expression recognition via Densenet-121
Bin Li
17. Quantitative assessment of local warming based on urban dynamics using remote sensing techniques.
Valentina Santarsiero, Lucia Saganeiti, Angela Pilogallo, Francesco Scorza, Beniamino Murgante, Valentina Santarsiero, and Gabriele Nolè
18. Managing Information Security risk and Internet of Things (IoT) Impact on Challenges of Medicinal Problems with Complex Settings: A Complete Systematic Approach
N. Thirupathi Rao, Debnath Bhattacharyya, and Eali Stephen Neal Joshua
19. An Extensive Discussion on Utilization of Data Security and Big Data Models for Resolving Healthcare Problems
N. Thirupathi Rao, Debnath Bhattacharyya, and Eali Stephen Neal Joshua